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A correction is made to the article by Oishi‐Tomiyasu [Acta Cryst. (2013), A69, 603610].
A strategy is described for regularizing ill posed structure and nanostructure scattering inverse problems (i.e. structure solution) from complex material structures. This paper describes both the philosophy and strategy of the approach, and a software implementation, DiffPy Complex Modeling...
Uniqueness of the phase problem in macromolecular crystallography, and its relationship to the case of single particle imaging, is considered. The crystallographic problem is characterized by a constraint ratio that depends only on the size and symmetry of the molecule and the unit cell. The...
Tilings with a singular point are obtained by applying conformal maps on regular tilings of the Euclidean plane and their symmetries are determined. The resulting tilings are then symmetrically colored by applying the same conformal maps on colorings of regular tilings arising from sublattice...
Based on the rigorous Green function formalism to describe the grazing‐incidence small‐angle X‐ray scattering (GISAXS) problem, a system of two linked integral equations is derived with respect to amplitudes of the reflected and transmitted plane q‐eigenwaves (eigenstate functions) propagating...
Entanglements of two‐dimensional honeycomb nets are constructed from free tilings of the hyperbolic plane () on triply periodic minimal surfaces. The 2‐periodic nets that comprise the structures are guaranteed by considering regular, rare free tilings in . This paper catalogues an array of...
The architecture of infinite structures with non‐crystallographic symmetries can be modelled via aperiodic tilings, but a systematic construction method for finite structures with non‐crystallographic symmetry at different radial levels is still lacking. This paper presents a group theoretical...
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